On Katz Type p-adic L-functions
Time: 2025-10-20
Published By: He Liu
Speaker(s): Fabrizio Andreatta (Universita Statale di Milano)
Time: 14:00-15:00 October 20, 2025
Venue: Room 77201, Jingchunyuan 78, BICMR
Given a quadratic imaginary field K and an odd prime p, I will explain how to attach a p-adic L-function which interpolates the algebraic parts of the special values of the complex L-functions of K twisted by algebraic Hecke characters such that the p-part of their conductor is p^n (for n large enough and explicitly determined). For p non split in K this construction extends a classical construction of N. Katz. This is joint work with Adrian Iovita.